In a process that manufactures ball bearings, suppose the diameters are normally distributed with mean 0.780 centimeter and standard deviation 0.002 centimeter. A ball bearing is judged to be "acceptable" if its diameter is between 0.775 centimeter and 0.785 centimeter. If 1000 ball bearings are produced, the mean and standard deviation of the number acceptable are closest to which of the following?

a. 993.79 and 2.48, respectively

b. 987.58 and 12.27, respectively

c. 987.58 and 3.50, respectively

d. 993.79 and 6.17, respectively